Question

add:-

$4 \frac{2}{3} + 3 \frac{1}{4} + 7 \frac{3}{4}$
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Answer 1

Heya friend !!!

Question :-

$4 \frac{2}{3} + 3 \frac{1}{4} + 7 \frac{3}{4}$

To find ?

Add the following .

Explanation :-

First we have to turn the mixed fraction into improper fraction .

$4\frac{2}{3} = \frac{14}{3}$

$3\frac{1}{4} = \frac{13}{4}$

$7\frac{3}{4}=\frac{31}{4}$

As , denominator are not equal , we have to find the LCM of the denominators .

LCM of 3 , 4 , 4 = 12

So, as we have found the LCM of the denominators , we will equalize the numerator .

$\frac{14×4}{3×4} = \frac{56}{12}$

$\frac{13×3}{4×3} = \frac{39}{12}$

$\frac{31×3}{4×3} = \frac{93}{12}$

Now , we will add .

$\frac{56}{12}+\frac{39}{12}+\frac{93}{12}$

$=> \frac{56+39+93}{12}$

$=> \frac{188}{12}$

$\mathcal{So, the \: answer \: is \: \frac{188}{12} \: or \: 15\frac{2}{3}}$

Hope it helps friend !

Answer 2

Step-by-step explanation:

$\\ \\ \\ = 4 \frac{2}{3} + 3 \frac{1}{4} + 7 \frac{3}{4} \\ \\ \\ taking \: lcm \: of \: 3 \: and \: 4 = 12 \: we \: get \: \\ \\ \\ = \frac{56 + 39 + 93}{12} \\ \\ = \frac{188}{12} \\ \\ = \frac{49}{3} \: \: \: \: answer$

ADDITIONAL INFORMATION:

to make less complicated, clearer, or easier. maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.